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Finding the Fourth Proportional to 278.77, 420.27 and 263.89

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Solution

The fourth proportional to 278.77, 420.27 and 263.89 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.77 : 420.27 = 263.89 : x
  2. Step 2: Convert to fraction form
    278.77/420.27 = 263.89/x
  3. Step 3: Cross multiply
    278.77x = 420.27 × 263.89
  4. Step 4: Simplify right side
    278.77x = 110,905.05
  5. Step 5: Solve for x
    x = 110,905.05/278.77
  6. Step 6: Final answer
    x = 397.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.